How much does legal accuracy matter in a thriller to audiences?

For a script I was writing, which is of the serious thriller genre, I did some legal research by talking to a lawyer, and coming up with legally accurate scenarios for my story to unfold in to keep it real.

Later I asked another lawyer to go over it, and he said that it's not legally accurate at all, and that the lawyer I talked to must be very inexperienced. But I don't think I could rewrite the third act in a legally accurate way, without it leading to plot holes.

So I was wondering, how much to audiences care about realism, in a thriller that is set in the police and court world?

Some movies make things up I found out by doing my own research, but it's hard to know where the line is drawn.